Given are five observations for two variables, x and y.x1 2 3 4 5y 3 8 6 11 14Round your answers to two decimal places. Use Table 1 of Appendix B.a. Using the following equation:-1(x*x)²+inΣ(x-x)²Estimate the standard deviation of ŷ* when x = 3.b. Using the following expression:y±1/2Develop a 95% confidence interval for the expected value of y when x = 3.toc. Using the following equation:Spred s√1++n(x* - x)²ΣΟ-Estimate the standard deviation of an individual value of y when x = 3.d. Using the following expression:y⚫ ±1/2³ predDevelop a 95% prediction interval for y when x = 3. If your answer is negative, enter minus (-) sign.to

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A simple regression analysis is performed to relate maintenance expense (Y, dollars per month) to usage (X, hours per week). A random sample of 82 observations showed an F-statistic of 10 in the ANOVA table, and the scatter plot suggested that maitenance expense increases as usage increases. The sample variance of Y is 100. Question 17. The sample correlation coefficient between X and Y is closest to O 1/4 O 1/9 O 1/5 O 1/2 O 1/3 o ooo o
2.4
Suppose a set of data has mean μ=29 and standard deviation σ=1.3. (Give answers accurate to three decimal places.) What is the z-score for the data value x=26? z= What is the z-score for the data value x=31? z= What data value corresponds to the z=score: z=2.3? x= What data value corresponds to the z=score: z=−1.1? x=
Beetles' weight has a normal distribution with mean of 85g and standard deviation of 6.4g. Suppose we repeatedly took random samples of 12 of these beetles. The percentage of samples that have a sample mean weight less than 83.2g is closest to: (You should use the empirical rules to estimate this percentage) A: 2.5% B: 85% C: 100% D: 15%
Suppose a population has a standard deviation of 10. Assume that we continue to select groups of 100 individuals from the population and calculate the sample means. The variation among all these sample means is measured by o/v(n). Compare the distribution of single observations (x) with that of the means x. (That is, compare the histograms of x and x.) We can conclude that the distribution of x is spread out. In other words, averages vary much than individual observations. less; less less; more more; less more; more
TF.15 The standard deviation of a random sample of the hourly wages of 18 post office employees is s = $3.38. Assuming normal distribution, find a 95% confidence interval for the standard deviation σ. Use X2 - distribution.
Answer the exercise of the image. (In the other image are the final answers, this to verify the final answer).
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 88 and standard deviation σ = 21. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 140 (borderline diabetes starts at 140)
For a given set of x and y data values, assume that the regression model assumptions are valid and that a 90% confidence interval for ₁ is given by (-2.2, -0.1). Which of the following statements are true? i) At a = 0.10, there is a significant linear relationship between x and y. ii) In the scatterplot of x and y, the values of y tend to decrease as the values of x increase. iii) Based on this confidence interval, we would reject the null hypothesis of no linear relationship at any significance level a ≤ 0.1. Select one: a. i) O b. i) and ii) O c. ii) d. i), ii), and iii)

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